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Discriminants of Number Fields
Journal article   Peer reviewed

Discriminants of Number Fields

Frauke M. Bleher
Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol.126(3), pp.167-177
09/10/2024
DOI: 10.1365/s13291-024-00286-2

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Abstract

The discriminant of a number field is an important invariant measuring its size and ramification behavior. We will first recall classical results by Minkowski, Odlyzko, Serre, and Golod and Šafarevič about discriminants. We then discuss the relevance of number fields with small root discriminants to cryptography.

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